Abstract

We use optical spectra from the inner 1.8 × 2.5 kpc2 of the Seyfert 2 galaxy NGC 1358, obtained with the GMOS integral field spectrograph on the Gemini South telescope at a spatial resolution of ≈ 165 pc, to assess the feeding and feedback processes in this nearby active galaxy. Five gaseous kinematical components are observed in the emission line profiles. One of the components is present in the entire field-of-view and we interpret it as due to gas rotating in the disc of the galaxy. Three of the remaining components we interpret as associated with active galactic nucleus (AGN) feedback: a compact unresolved outflow in the inner 1 arcsec and two gas clouds observed at opposite sides of the nucleus, which we propose have been ejected in a previous AGN burst. The disc component velocity field is strongly disturbed by a large-scale bar. The subtraction of a velocity model combining both rotation and bar flows reveals three kinematic nuclear spiral arms: two in inflow and one in outflow. We estimate the mass inflow rate in the inner 180 pc obtaining |$\dot{M}_{{\rm in}}$| ≈ 1.5 × 10−2 M yr−1, about 160 times larger than the accretion rate necessary to power this AGN.

1 INTRODUCTION

It is widely accepted that the radiation emitted by an active galactic nucleus (AGN) is a result of accretion on to the central supermassive black hole (SMBH). However, the mechanisms involved in the transfer of mass from kiloparsec scales down to nuclear scales are not well understood. The ubiquity of dust structures (spirals, filaments and discs) in the inner kiloparsec of AGNs suggest that these structures are likely associated shocks and angular momentum dissipation in the interstellar medium, thus tracing the transfer of gas to the inner tens or hundreds of parsecs (Martini et al. 2003; Simões Lopes et al. 2007). This is supported by simulations, which showed that, if a central SMBH is present, spiral shocks can extend all the way to the SMBH vicinity and generate gas inflow consistent with the observed accretion rates (Maciejewski 2004a,b).

In order to assess the role of nuclear dust structures, in particular nuclear spirals, in the transport of gas to the AGN, our group has been mapping gas flows in the inner kiloparsec of nearby AGNs using optical and near-infrared integral field spectroscopic observations. So far, we have observed gas inflows along nuclear spirals in NGC 1097 (Fathi et al. 2006), NGC 6951 (Storchi-Bergmann et al. 2007), NGC 4051 (Riffel et al. 2008), M 79 (Riffel et al. 2013), NGC 2110, (Schnorr-Müller et al. 2014a), NGC 7213 (Schnorr-Müller et al. 2014b) and NGC 1667 (Schnorr-Müller et al. 2017). We have also observed gas inflows in the galaxy M 81 (Schnorr Müller et al. 2011), where the inflow was mostly traced by dust lanes and in NGC 3081 (Schnorr-Müller et al. 2016), where a nuclear bar is feeding the AGN. There is tentative evidence of inflows in NGC 1386 (Lena et al. 2015). Gas inflows have also been observed by other groups. Near-infrared integral field spectroscopic observations revealed inflows along nuclear spiral arms in NGC 1097 (Davies et al. 2009), NGC 5643 (Davies et al. 2014) and NGC 7743 (Davies et al. 2014), and gas inflow along a bar in NGC 3227 (Davies et al. 2014). Recent ALMA observations of molecular gas revealed streaming motions along nuclear spirals in NGC 1433 (Combes et al. 2013) and NGC 1566 (Combes et al. 2014). Observations of CO also revealed gas inflows in NGC 1068 (García-Burillo et al. 2014), NGC 2782 (Hunt et al. 2008), NGC 3147 (Casasola et al. 2008), NGC 3627 (Casasola et al. 2011), NGC 4579 (García-Burillo et al. 2009) and NGC 6574 (Lindt-Krieg et al. 2008).

In this work, we report results obtained from optical integral field spectroscopic observations of the nuclear region of NGC 1358, a barred S0a galaxy harbouring a Seyfert 2 AGN. Observational properties of NGC 1358 are listed in Table 1.

Table 1.

Observational properties of NGC 1358.

RA|$03^{\rm h}33^{\rm m}39{^{\rm s}_{.}}7$|Argyle & Eldridge (1990)
Dec.−05d05m22s
Vsys4028 ±10 km s−1Theureau et al. (1998)
Morphological TypeSAB(r)0/ade Vaucouleurs et al. (1991)
ActivitySy 2Véron-Cetty & Véron (2006)
Distance (Mpc)53.7Theureau et al. (1998)
Projected scale (pc arcsec−1)254NEDa
Inclination54°Gerssen, Kuijken & Merrifield (2003)
Major-axis PA15°Gadotti et al. (2007)
Bar PA135°Gadotti et al. (2007)
RA|$03^{\rm h}33^{\rm m}39{^{\rm s}_{.}}7$|Argyle & Eldridge (1990)
Dec.−05d05m22s
Vsys4028 ±10 km s−1Theureau et al. (1998)
Morphological TypeSAB(r)0/ade Vaucouleurs et al. (1991)
ActivitySy 2Véron-Cetty & Véron (2006)
Distance (Mpc)53.7Theureau et al. (1998)
Projected scale (pc arcsec−1)254NEDa
Inclination54°Gerssen, Kuijken & Merrifield (2003)
Major-axis PA15°Gadotti et al. (2007)
Bar PA135°Gadotti et al. (2007)

aThe NASA/IPAC Extragalactic Database (NED) is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.

Table 1.

Observational properties of NGC 1358.

RA|$03^{\rm h}33^{\rm m}39{^{\rm s}_{.}}7$|Argyle & Eldridge (1990)
Dec.−05d05m22s
Vsys4028 ±10 km s−1Theureau et al. (1998)
Morphological TypeSAB(r)0/ade Vaucouleurs et al. (1991)
ActivitySy 2Véron-Cetty & Véron (2006)
Distance (Mpc)53.7Theureau et al. (1998)
Projected scale (pc arcsec−1)254NEDa
Inclination54°Gerssen, Kuijken & Merrifield (2003)
Major-axis PA15°Gadotti et al. (2007)
Bar PA135°Gadotti et al. (2007)
RA|$03^{\rm h}33^{\rm m}39{^{\rm s}_{.}}7$|Argyle & Eldridge (1990)
Dec.−05d05m22s
Vsys4028 ±10 km s−1Theureau et al. (1998)
Morphological TypeSAB(r)0/ade Vaucouleurs et al. (1991)
ActivitySy 2Véron-Cetty & Véron (2006)
Distance (Mpc)53.7Theureau et al. (1998)
Projected scale (pc arcsec−1)254NEDa
Inclination54°Gerssen, Kuijken & Merrifield (2003)
Major-axis PA15°Gadotti et al. (2007)
Bar PA135°Gadotti et al. (2007)

aThe NASA/IPAC Extragalactic Database (NED) is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.

The present paper is organized as follows. In Section 2, we describe the observations and data reduction. In Section 3, we present the procedures used for the analysis of the data and the subsequent results. In Section 4, we discuss our results and present estimates of the mass inflow rate and in Section 5, we present our conclusions.

2 OBSERVATIONS AND DATA REDUCTION

The observations were obtained with the Integral Field Unit of the Gemini Multi Object Spectrograph (GMOS-IFU) at the Gemini South telescope on the night of 2011 January 27 (Gemini project GS-2010B-Q-19, P.I. Neil M. Nagar), in two-slit mode. The observations consisted of two adjacent IFU fields (covering 7 × 5 arcsec2 each) totaling an angular coverage of 7 × 10 arcsec2. Six exposures of 350 s were obtained. The spectral coverage is 5600–7000 Å at a resolving power of R ≈ 2000. The seeing during the observation was 0.65 arcsec, as measured from the full width at half-maximum (FWHM) of a spatial profile of the calibration standard star. This corresponds to a spatial resolution at the galaxy of 165 pc.

The data reduction was performed using the gemini.gmos package in iraf.1 This package is provided by the Gemini Observatory and it is specifically developed for data reduction of observations taken with the GMOS instrument. The data reduction process comprised bias and sky subtraction, flat-fielding, trimming, wavelength and flux calibration and building and combination of the data cubes. The final data cube has a spatial sampling of 0.1 × 0.1 arcsec2, containing 7030 spectra.

3 RESULTS

In Fig. 1, we present in the upper left-hand panel the acquisition image of NGC 1358 and in the upper right-hand panel an image of the inner 22 × 22 arcsec2 of the galaxy obtained with the Wide Field Planetary Camera 2 (WFPC2) through the filter F606W aboard the Hubble Space Telescope (HST). A large-scale bar is visible in both images, oriented along the position angle (PA) 135° (see Table 1). Faint spiral arms are also visible in the acquisition image. An H α image of NGC 1358 (Gonzalez Delgado & Perez 1997) shows these arms emerge from the bar and are traced by H ii regions. In the middle left-hand panel, we present a structure map of the WFPC2 HST image (see Pogge & Martini 2002). The rectangle in this panel shows the field-of-view (FOV) covered by the IFU observations. Chaotic nuclear spirals arms traced by (dark) dust lanes are a prominent feature in the structure map in the inner 4 arcsec. In the middle right-hand panel, we present an image from our IFU observations obtained by integrating the continuum flux within a spectral window from λ6470 to λ6580 Å. The dashed black line traces the orientation of the large-scale bar. The straight black line traces the position of the photometric major axis, oriented along PA = 15° (see Table 1). In the lower panel, we present three spectra of the galaxy corresponding to locations marked as A, B and N in the IFU image, showing the complex line profiles of [O i]λλ 6300,6363 Å, [N ii] λλ6548,6583 Å, H α and [S ii] λλ6717,6731 Å observed within the inner 2 arcsec. These spectra were extracted within apertures of 0.3 × 0.3 arcsec2.

Top left-hand panel: acquisition image of NGC1358. Top right-hand panel: WFPC2 image. Middle left-hand panel: structure map. The rectangle shows the field of the IFU observation. Middle right-hand panel: continuum image from the IFU spectra (flux in erg cm−2 s−1pixel−1). The straight black line indicates the position angle of the photometric major axis of the galaxy (PA = 15°, see Table 1) and the dashed black line indicates the position of the bar (PA = 135°). Bottom panel: spectra corresponding to the regions marked as N, A and B in the IFU image. All images have the same orientation, where north makes an angle of 25° with the vertical axis.
Figure 1.

Top left-hand panel: acquisition image of NGC1358. Top right-hand panel: WFPC2 image. Middle left-hand panel: structure map. The rectangle shows the field of the IFU observation. Middle right-hand panel: continuum image from the IFU spectra (flux in erg cm−2 s−1pixel−1). The straight black line indicates the position angle of the photometric major axis of the galaxy (PA = 15°, see Table 1) and the dashed black line indicates the position of the bar (PA = 135°). Bottom panel: spectra corresponding to the regions marked as N, A and B in the IFU image. All images have the same orientation, where north makes an angle of 25° with the vertical axis.

The spectrum corresponding to the nucleus (marked as N in Fig. 1) is typical of the inner 1 arcsec, where the line profiles have a ‘triangular’ shape, with a broad base and a narrow top, distinct from a single Gaussian profile. In the spectrum from location A, the line profiles are double peaked. In the spectrum from location B, the line profiles are asymmetric, with a ‘red shoulder’.

3.1 Measurements

The gaseous centroid velocities, velocity dispersions and the emission-line fluxes were obtained through the fit of Gaussians to the [N ii], H α, [O i] and [S ii] emission lines. In order to reduce the number of free parameters when fitting the [Nii] and H α lines, we adopted the following physically motivated constraints:

  • Flux|$_{[{\rm N \small {ii}}]\,\lambda 6583}$|/Flux|$_{[{\rm N\,\small {ii}}]\,\lambda 6548}=2.98$|⁠, in accordance with the ratio of their transition probabilities (Osterbrock & Ferland 2006);

  • The H α, [N ii] λ6583 and [N ii] λ6548 lines have the same centroid velocity and FWHM.

As illustrated by the spectra shown in Fig. 1, complex emission line profiles that cannot be reproduced by a single Gaussian profile are observed in the nucleus of NGC 1358. A visual inspection of the data cube showed that double peaked and/or asymmetric line profiles are observed up to ≈ 4 arcsec from the nucleus. In order to identify distinct kinematic components in the gas, we perform in addition to a single Gaussian fit to the emission line profiles in the entire data cube, a two Gaussian fit to the [N ii] and H α line profiles in the inner 4 arcsec. If one of the two Gaussian components contributed less than 10  per cent to the total flux of each emission line in a given spaxel, the two Gaussian fit were discarded. Additionally, spaxels where the Gaussian parameters (flux, centroid velocity and velocity dispersion) showed large variations compared to neighbouring spaxels were also discarded. Examples of typical two Gaussian fits are shown in Fig. 2. As illustrated by the examples, one of the Gaussian components traces the peak of the line profiles (dashed lines), while the other fits the asymmetries of the line profile (either the broad base, shoulder or the second peak, dot–dashed lines). Although the [S ii] line profiles also show asymmetries in the inner 2 arcsec, we could only reliably fit two Gaussian to these lines in few spectra, so we present only single Gaussian fits to [S ii].

Examples of two Gaussian fits to the [N ii] and H α emission lines from four different regions, labelled A (x = − 0.7 arcsec, y = − 1.8 arcsec), B (x = 0.5 arcsec, y = 1.6 arcsec), C (x = 0 arcsec , y = −1 arcsec) and N (x = 0 arcsec, y = 0 arcsec), selected as representative of the typical double-peaked emission line profiles observed in the inner 2 arcsec. The position of each region is marked on the central box, where the logarithm of the flux of the [N ii] line is displayed. The asterisks correspond to data points, the solid lines to the fit, crosses to the residuals and the dashed lines to the narrower and broader components.
Figure 2.

Examples of two Gaussian fits to the [N ii] and H α emission lines from four different regions, labelled A (x = − 0.7 arcsec, y = − 1.8 arcsec), B (x = 0.5 arcsec, y = 1.6 arcsec), C (x = 0 arcsec , y = −1 arcsec) and N (x = 0 arcsec, y = 0 arcsec), selected as representative of the typical double-peaked emission line profiles observed in the inner 2 arcsec. The position of each region is marked on the central box, where the logarithm of the flux of the [N ii] line is displayed. The asterisks correspond to data points, the solid lines to the fit, crosses to the residuals and the dashed lines to the narrower and broader components.

In order to measure the stellar kinematics, we first used the Voronoi binning technique (Cappellari & Copin 2003) to bin the data cube in order to achieve a signal-to-noise ratio of at least five in the continuum near the Na I doublet in each spectrum. We then employed the pPXF technique (Penalized Pixel Fitting, Cappellari & Emsellem 2004), using the Bruzual & Charlot (2003) stellar population models as templates to fit the stellar continuum from 5700 to 6600 Å, to obtain the stellar velocity field and velocity dispersion.

3.2 Uncertainties

To test the robustness of the fits and to estimate the uncertainties in the quantities measured from each spectrum in our data cube, we performed Monte Carlo simulations in which Gaussian noise was added to the observed spectrum. For each spaxel, the noise added in each Monte Carlo iteration was randomly drawn from a Gaussian distribution whose standard deviation matches that expected from the noise of that spaxel. A total of 100 iterations were performed and the estimated uncertainty in each parameter – line centre, linewidth and total flux in the line – was derived from the σ of the parameter distributions yielded by the iterations. In Fig. 3, we show the uncertainties in the measurement of the [N ii] emission lines and in the flux distribution of the H α line. Uncertainties in the fluxes of the [S ii] lines are similar to those of the [N ii] line. Uncertainties in the stellar velocity and velocity dispersion are of the order of 20 and 25 km s−1, respectively.

Uncertainties in centroid velocity (km s−1), velocity dispersion (km s−1) for the [N ii] emission line and uncertainties in flux ( per cent) for the [N ii] and H α emission lines. Note that the H α centroid velocity and velocity dispersion were not free parameters in the emission line fits (see section 3.1 for details).
Figure 3.

Uncertainties in centroid velocity (km s−1), velocity dispersion (km s−1) for the [N ii] emission line and uncertainties in flux ( per cent) for the [N ii] and H α emission lines. Note that the H α centroid velocity and velocity dispersion were not free parameters in the emission line fits (see section 3.1 for details).

3.3 Stellar kinematics

In Fig. 4, we show the stellar centroid velocity (km s−1) and velocity dispersion (km s−1), obtained fitting stellar population models to the stellar continuum between 5700 and 6600 Å. The stellar velocity field displays a rotation pattern in which the south-west side of the galaxy is approaching and the north-east side is receding. Under the assumption that the spiral arms are trailing, it can be concluded that the near side of the galaxy is to the west, and the far side is to the east. The stellar velocity field is consistent with a line of nodes oriented along PA = 15°. A systemic velocity of 4029 km s−1 (see section. 4 for details on how this value was determined) was subtracted from the centroid velocity maps. The stellar velocity dispersion (right-hand panel of Fig. 4) varies between 100 and 250 km s−1.

Stellar centroid velocity (km s−1) and velocity dispersion (km s−1), obtained fitting stellar population models to the stellar continuum between 5700 and 6600 Å. The solid white line marks the position angle of the major axis of the galaxy (15°).
Figure 4.

Stellar centroid velocity (km s−1) and velocity dispersion (km s−1), obtained fitting stellar population models to the stellar continuum between 5700 and 6600 Å. The solid white line marks the position angle of the major axis of the galaxy (15°).

3.4 Gaseous kinematics

3.4.1 Single Gaussian fit

In Fig. 5, we show centroid velocity (km s−1), velocity dispersion, flux distribution and [N ii]/H α ratio maps obtained from the single Gaussian fit to the [N ii] and H α emission lines. A systemic velocity of 4029 km s−1 was subtracted from the centroid velocity maps. The gas velocity field is highly disturbed, as evidenced by the strong radial motions near the minor axis of the disc. The velocity dispersion map shows the lowest values (60–80 km s−1) to the north–north-east and east–south-east of the nucleus, and the highest values (≈ 200 km s−1) between 2 and 4 arcsec from the nucleus, near the minor axis. High-velocity dispersions are also observed around the nucleus in the inner 1 arcsec and along the north-east–south-west direction.

Single Gaussian fit: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/H α ratio. The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large-scale bar (135°).
Figure 5.

Single Gaussian fit: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/H α ratio. The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large-scale bar (135°).

3.4.2 Two Gaussian fit

A comparison between the [N ii] velocity fields obtained from the single and two Gaussian fits showed that the velocity field of one of the components was always consistent with the single Gaussian velocity field. We readily identify this component as due to gas rotating in the disc of the galaxy, and we will hereafter refer to it as the ‘disc component’. In Fig. 6, we show centroid velocity (km s−1), velocity dispersion, flux distribution and [N ii]/H α ratio maps of the disc component. The largest differences between the disc component and single Gaussian fit maps are observed in the inner 1 arcsec, where the disc component velocities are ≈40 km s−1 larger and in a region 2 arcsec south-east of the nucleus, where a blueshifted region is observed in the single Gaussian velocity field, while it is not observed in the disc component velocity field (velocities are ≈100 km s−1 larger). The disc component velocity dispersion map shows that there is a large low velocity dispersion region extending from 2 arcsec south–south-east of the nucleus to 2 arcsec north–north-west.

Disc component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1 per spaxel) and [N ii]/Hα ratio. This map was constructed combining the narrower component and the single Gaussian maps (where only one component was fitted). The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large-scale bar (135°).
Figure 6.

Disc component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1 per spaxel) and [N ii]/Hα ratio. This map was constructed combining the narrower component and the single Gaussian maps (where only one component was fitted). The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large-scale bar (135°).

We identify two more kinematic components in the two Gaussian fits. One of these components is an extended structure 3–4 arcsec north-west of the nucleus, blueshifted by more than 400 km s−1 in relation to the systemic velocity. We refer to this component as the ‘filament component’. The centroid velocity (km s−1), velocity dispersion, flux distribution and [N ii]/Hα ratio maps of this component are shown in Fig. 7.

Filament component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/Hα ratio. The solid white line marks the position angle of the major axis of the galaxy (15°).
Figure 7.

Filament component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/Hα ratio. The solid white line marks the position angle of the major axis of the galaxy (15°).

The other kinematic component we label ‘nuclear component’, as it is contained within the inner 2.5 arcsec. In Fig. 8, we show centroid velocity (km s−1), velocity dispersion, flux distribution and [N ii]/H α ratio maps of the nuclear component. The nuclear component is observed in an elongated region extending from 2.5 arcsec south–south-east of the nucleus to 2 arcsec north–north-west. The centroid velocity shows large variation across this region. Large blueshifted velocities are observed south–south-east of the nucleus, while velocities close to systemic are observed elsewhere. In the velocity dispersion map, three distinct regions are present. A region of high velocity dispersion (180–200 km s−1) in the inner 1 arcsec, a region of velocity dispersions of ≈100 km s−1 north–north-west of the nucleus, and a region with velocity dispersions of ≈150 km s−1 south–south-east of the nucleus.

Nuclear component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/H α ratio. The solid white line marks the position angle of the major axis of the galaxy (15°).
Figure 8.

Nuclear component: gaseous centroid velocities (km s−1), velocity dispersion, logarithm of the [N ii] emission line flux (in units of 10−17 erg cm−2 s−1spaxel−1) and [N ii]/H α ratio. The solid white line marks the position angle of the major axis of the galaxy (15°).

3.5 Line fluxes and excitation of the emitting gas

We show the [N ii] flux distribution for the single Gaussian fit in the centre right-hand panel of Fig. 5. The [N ii] flux distribution for the disc and nuclear components are shown in the centre right-hand panels of Fig. 6 and Fig. 8, respectively. The single Gaussian flux distribution shows an ‘S’-shaped structure in the inner 2 arcsec. Three bright emission knots are observed inside this structure. The lowest [N ii]/Hα ratios are observed at the top and bottom of the S-shaped structure. The disc component flux distribution also shows an ‘S’-shaped structure, although with a lower flux in the inner 1 arcsec. The nuclear component [N ii] flux distribution shows three emission knots, one at the nucleus, the other in a region 1 arcsec south-west and a fainter knot at 1 arcsec north of the nucleus. The [N ii]/H α ratio varies between 2 and 3.

In Fig. 9, we present the gas density map for the single Gaussian fit. The gas density was obtained from the [S ii] λλ6717/6731 Å line ratio using the iraf task temden, assuming an electronic temperature of 10 000 K (see fig. 5.8 in Osterbrock & Ferland 2006 for a plot of the calculated variation of the line ratio as a function of density for a constant electronic temperature of 10 000 K).

Gas density (cm−3) obtained from the single component fit. The solid white line marks the position angle of the major axis of the galaxy (15°).
Figure 9.

Gas density (cm−3) obtained from the single component fit. The solid white line marks the position angle of the major axis of the galaxy (15°).

4 DISCUSSION

4.1 Stellar kinematics

In order to obtain the value of the systemic velocity and the rotation velocity field, we modelled the stellar velocity field assuming a spherical potential with pure circular motions, with the observed radial velocity at a position (R, ψ) in the plane of the sky given by (Bertola et al. 1991):
\begin{eqnarray*} V\!=\!V_{{\rm s}}\!+\!\frac{AR\,\,{\rm cos}(\psi \!-\!\theta )\,\,{\rm sin}(i)\,\,{\rm cos}^{p}(i)}{\lbrace R^{2}[{\rm sin}^{2}(\psi -\theta )\!+\!{\rm cos}^{2}(i)\,\, {\rm cos}^{2}(\psi -\theta )]\!+\!c^{2}\,\,{\rm cos}^{2}(i)\rbrace ^{p/2}}, \end{eqnarray*}
where i is the inclination of the disc (with i = 0 for a face-on disc), θ is the position angle of the line of nodes, Vs is the systemic velocity, R is the radius in the plane of the sky, A is the amplitude of the rotation curve (at large radii), c is a concentration parameter regulating the compactness of the region with a strong velocity gradient and p regulates the inclination of the flat portion of the velocity curve (at the largest radii). We assumed the kinematical centre to be cospatial with the peak of the continuum emission. We adopted an inclination of i = 54° (see Table 1), p = 1 for an asymptotically flat velocity curve, A = 110 km s−1 (from the large-scale velocity curve; Gerssen et al. 2003) and a position angle of the line of nodes of 15° (see Table 1). A Levenberg–Marquardt least-squares minimization was performed to determine the best-fitting parameters.

The resulting parameters c and Vs are 15 arcsec ± 0.4 arcsec and 4029 ±15 km s−1, respectively. Our determination of the systemic velocity is in agreement with the previous determination of 4028 ±10 km s−1 based on H I 21 cm measurements (see Table 1). The model velocity field is shown in Fig. 10.

Stellar velocity field (km s−1) and modelled velocity field (km s−1). The solid white line indicates the position angle of the major axis of the galaxy (15°).
Figure 10.

Stellar velocity field (km s−1) and modelled velocity field (km s−1). The solid white line indicates the position angle of the major axis of the galaxy (15°).

4.2 The disc component

4.2.1 Gas kinematics

In order to test our hypothesis that nuclear dust structures trace the channels responsible for bringing gas from larger scales to the inner few hundred parsecs, we need to search for radial inflows in the gas. Usually, this is done by fitting a rotating disc model and subtracting it from the observed velocity field. However, in the case of NGC 1358, the gaseous velocity in the inner few kiloparsecs shows a strong perturbation due to the bar (Dumas, Emsellem & Ferruit 2007) and gas motions in closed orbits cannot be described accurately by a simple rotating disc model. To account for the bar perturbation, we model the gaseous velocity field using the diskfit code (Spekkens & Sellwood 2007). diskfit approximates the observed velocity field in a given position to be
\begin{eqnarray} V &=& V_{{\rm s}}+{\rm sin}(i)[V_{{\rm t}}\,\,{\rm cos}(\theta )-V_{2,{\rm t}}\,\,{\rm cos}(2\theta _{\rm b})\,\,{\rm cos}(\theta )\nonumber\\ &&-\, V_{2,r}{\rm sin}(2\theta _{\rm b})\,\,{\rm sin}(\theta )], \end{eqnarray}
(1)
where i is the inclination of the disc, Vs is the systemic velocity, Vt is the rotation velocity, θ is the position angle of the disc major axis, V2, t and V2, r are the tangential and radial components of the non-circular bar flow, respectively, and θb is the angle between the major axis of the bar and the major axis of the disc. As our gaseous velocity field covers only the inner ≈1 kpc, which is too small a region to adequately constrain the position angle of the major axis of the disc and bar, we kept these parameters fixed as equal to the corresponding photometric values during the fit. We also fixed the centre of the disc as equal to the position of the peak flux in the continuum.

As our data provides only limited coverage of the inner disturbance and no information on the larger scale undisturbed velocity field, we performed a simple test to assure the velocity field resulting from the fit is meaningful. We combined the observed gaseous velocity field with a large-scale velocity field model covering radii of 30 to 60 arcsec in the plane of the galaxy (where the gaseous velocity field is undisturbed by the bar), and we fitted this combined velocity field with diskfit. Note that radii not covered by the GMOS field or the large-scale model were masked out from the fit. The large-scale velocity field was built based on the observed stellar velocity field (which is dominated by rotation). The model and residuals maps were identical to those obtained fitting only the gaseous velocity field.

We show the gaseous velocity field, model velocity field, residual velocity map and structure map in Fig. 11. White dots tracing the spiral pattern in the structure map are plotted on the residual map. We identify four nuclear spirals in the structure map, which we label S1, S2, S3 and S4. Most of the residuals follow a similar pattern to the dusty spirals, although the kinematical spirals in the residual map are adjacent to the morphological spirals instead of being cospatial. A similar displacement between kinematic and dust spirals has been observed in the region surrounding the AGN in the nearby galaxy NGC 1097 (Fathi et al. 2006; Davies et al. 2009). Simulations have also predicted such displacement (Maciejewski 2004a,b).

From the left- to the right-hand panel: gaseous centroid velocity (km s−1), structure map, modelled velocity field and residual between gaseous centroid velocity and modelled velocity field (km s−1). The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large scale bar (135°).
Figure 11.

From the left- to the right-hand panel: gaseous centroid velocity (km s−1), structure map, modelled velocity field and residual between gaseous centroid velocity and modelled velocity field (km s−1). The solid white line marks the position angle of the major axis of the galaxy (15°) and the dashed white line marks the position of the large scale bar (135°).

On the near side of the galaxy, redshifted residuals are observed associated with the S1 and S2 nuclear spirals, while on the far side, blueshifted residuals are observed associated with S1. Assuming that the gas is on the plane of the galaxy, this means the gas is radially inflowing in these locations. Only one kinematic spiral arm is observed associated with spiral arms S3 and S4, in which redshifted residuals are observed on the far side of the galaxy and blueshifted residuals are observed on the near side, implying that, if the gas is on the plane, it is radially outflowing. In the inner 0.6 arcsec, redshifted velocities of up to 50 km s−1 are observed. This is consistent with measurement of neutral Na I gas by Krug, Rupke & Veilleux (2010), which found positive velocities of 35 ± 6 km s−1, implying both ionized and neutral gas are inflowing towards the nucleus of NGC 1358.

A pattern of two inflowing and one outflowing kinematic spirals has previously been observed in the nucleus of NGC 1097 (Fathi et al. 2006; Davies et al. 2009). This pattern has been interpreted by Davies et al. (2009) as a density wave in the disc, associated with a shock, and driven either by the large-scale bar or another rotating non-axisymmetric perturbation in the total gravitational potential. In hydrodynamical simulations (see Maciejewski 2004b), this flow pattern emerges as the gas inflowing in the arm preserves some angular momentum, passing by the galaxy centre at a certain distance, and continuing as a diverging outflow with smaller gas density (Davies et al. 2009).

4.2.2 Line fluxes and excitation

A remarkable feature in the [N ii] flux distribution map is the ‘S-shaped’ structure observed in the inner 2 arcsec. Similar structures in the ionized gas emission have been observed in other AGNs and they have been interpreted as due to interaction of the radio jet with gas in the host galaxy (e.g. NGC 3393, Maksym et al. 2017) or due to illumination of gas in the host by the AGN (e.g. NGC 2110, Schnorr-Müller et al. 2014a; NGC 1386, Lena et al. 2015; Mrk 573, Fischer et al. 2017). The gas velocity dispersion along the ‘S'is somewhat low, varying between 60 and 120 km s−1, and there is no signature of an AGN driven outflow in the residual map, so an interaction of gas disc with a radio jet is unlikely to originate the S-shaped structure. This leaves illumination of gas in the host by the AGN photoionization cone as the likely origin of this structure. The low-velocity dispersion region observed extending along the south-east–north-west direction actually points to this being the orientation of the AGN ionization cone: illumination of kinematically cold gas in the galaxy disc by the AGN can explain the low-velocity dispersion. The [O iii] emission in the inner 5 arcsec (see fig. 24 in Mulchaey, Wilson & Tsvetanov 1996) is also oriented along the south-east–north-west direction, supporting an orientation of the AGN ionization cone along this direction. A comparison between the structure map and the disc component flux distribution shows that the tips of the ‘S’ are cospatial to the S1 and S3 nuclear spiral arms. Thus, we conclude the S-shaped structure in the ionized gas flux distribution maps is due to illumination of gas in the disc and in nuclear spiral arms by the AGN.

4.3 The nuclear component

From the kinematics and excitation maps in Fig. 8, it is not clear if the nuclear component is composed of a single or multiple structures, as it presents an unusual velocity field and three emission knots are observed. Comparing the nuclear component velocity field to the model velocity field, it is clear that the observed velocities are not consistent with the rotation in the disc, except for the velocities in the inner 1 arcsec. The nuclear component is observed along the AGN ionization cone, so it could be associated with an AGN driven outflow. In fact, HST long-slit spectra of the inner 1 arcsec of NGC 1358 obtained with the Space Telescope Imaging Spectrograph (STIS) oriented along PA = 24° show that the ionized gas (H α and [O iii]) reaches velocities of ≈100 km s−1 and velocity dispersions of ≈200 km s−1. Redshifted velocities are observed on the far side of the galaxy and blueshifted velocities are observed on the near side, consistent with an outflow. This is in disagreement with our observations, as in the inner 1 arcsec the nuclear component velocities are ≈0 km s−1, and the disc components has low-velocity dispersion and redshifted radial velocities on the near side of the galaxy, implying gas inflows not outflows. However, the differences between the HST and GMOS observations can be understood if the outflow observed in the HST data is unresolved in the GMOS observations. This does indeed seem to be the case, as velocities drop to ≈0 km s−1 at 0.3 arcsec from the nucleus in the HST-STIS data (our spatial resolution is 0.6 arcsec). Thus, we argue the central emission knot in the nuclear component is due to a compact nuclear outflow, which is unresolved in our observations.

Regarding the south-eastern and northern emission knots, considering that they are observed along the AGN ionization cone, and emission from gas in the disc is observed cospatially to these knots, we suggest that they are due to off-plane clouds illuminated by the AGN. These clouds were likely ejected from the nucleus in a previous AGN burst. The difference in the flux distribution of these knots can be understood in this context. The south-eastern knot appears brighter as it is in front of the disc, while the northern knot is behind.

4.4 Estimating the emitting gas mass

We can estimate the emitting gas mass in the compact outflow and the clouds from (Peterson 1997):
\begin{equation} M \approx 2.3\times 10^5\frac{L_{41}({\rm H }\alpha )}{N_{3}^{2}}{\rm M}_{{\odot }}, \end{equation}
(2)
where L41(Hα) is the H α luminosity in units of 1041 erg s−1 and N3 is the gas density in units of 103 cm −3. We obtain a mass of emitting gas of 16 × 104 M in the compact outflow (inner 0.8 arcsec), 64 × 104 M in the south-eastern cloud and 5 × 104 M in the northtern cloud.

4.5 The filament component

Considering the filament component is blueshifted by more than 400 km s−1 in relation to the systemic velocity, this component is likely due to emission from a high-latitude gas cloud, photoionized by the AGN. The [N ii]/H α ratio varies between 1.2 and 2, similar values to what observed in the disc component along the AGN ionization cone (oriented along the north-west–south-east), consistent with AGN photoionization.

4.6 Estimating the mass inflow rate

In the residual velocity map shown in Fig. 11, the gas within ≈0.7 arcsec from the nucleus is observed in redshift. Assuming that this is gas inflowing towards the centre, we now calculate the mass inflow rate as
\begin{equation} \dot{M}_{{\rm in}}\,=\,N_{{\rm e}}\,v\,\pi \,r^{2}\,m_{{\rm p}}\,f, \end{equation}
(3)
where Ne is the electron density, v is the inflowing velocity of the gas, mp is the mass of the proton, πr2 is the area through which the gas is flowing and f is the filling factor. The filling factor can be estimated from
\begin{equation} L_{{\rm H }\alpha }\,\sim \,f\,N_{{\rm e}}^{2}\,J_{{\rm H }\alpha }(T)\,V, \end{equation}
(4)
where J(T) = 3.534 × 10−25 erg cm−3 s−1 (Osterbrock & Ferland 2006) and L is the H α luminosity emitted by a volume V. Assuming that the volume of the inflowing gas region can be approximated by the volume of a cylinder with radius r and height h (distance to the nucleus), we obtain
\begin{equation} \dot{M}_{{\rm in}}\,=\,\frac{m_{{\rm p}}\,v\,L_{{\rm H }\alpha }}{J_{{\rm H }\alpha }(T)\,N_{{\rm e}}\,h}. \end{equation}
(5)

In the inner 0.7 arcsec (h = 180 pc), the average inflow velocity corrected by the inclination of the galaxy is 25 km s−1, the average density is 570 cm−3 and the total H α flux is 3.9 × 10−14 erg cm−2 s−1. Adopting a distance of 53.7 Mpc, we obtain L = 1.3 × 1040 erg s−1. The mass inflow rate of ionized gas in the inner 0.7 arcsec is |$\dot{M}_{{\rm in}}$| ≈ 1.5 × 10−2 M yr−1.

We now compare the estimated inflow rate of ionized gas to the mass accretion rate necessary to produce the luminosity of the Seyfert nucleus of NGC 1358, calculated as follows:
\begin{equation*} \dot{m}\,=\,\frac{L_{{\rm bol}}}{c^{2}\eta }, \end{equation*}
where η is the efficiency of conversion of the rest mass energy of the accreted material into radiation. For geometrically thin and optically thick accretion disc, the case of Seyfert galaxies, η ≈ 0.1 (Frank, King & Raine 2002). The nuclear luminosity can be estimated from the [O iii] luminosity of |$L_{[{\rm O\,\,\small {iii}}]}$| = 6.0 × 1040 erg s−1 (Gu & Huang 2002), using the approximation that the bolometric luminosity is LBol ≈ 87|$L_{[{\rm O\small {iii}}]}$| (Lamastra et al. 2009). We use these values to derive an accretion rate of |$\dot{m}$| = 0.9 × 10−4 M yr−1. Comparing the accretion rate |$\dot{m}$| with the mass inflow rate of ionized gas, we find that the inflow rate in the inner ≈180 pc is about 160 times larger than the accretion rate. We point out, however, that this inflow rate corresponds only to ionized gas, which is probably only a fraction of a more massive inflow in neutral and molecular gas.

The two orders of magnitude difference between the mass inflow rate in the inner ≈180 pc and the accretion rate suggests most of the gas will not reach the nucleus, instead it will accumulate in the inner hundred parsec, building a reservoir that can fuel the formation of new stars. This scenario is supported by the observation of low stellar velocity dispersion regions (Emsellem 2008; Comerón, Knapen & Beckman 2008) associated with young to intermediate age (106–108 yrs old) stellar population (Riffel et al. 20102011; Storchi-Bergmann et al. 2012; Hicks et al. 2013) in the inner ≈200 pc of nearby Seyferts.

5 SUMMARY AND CONCLUSIONS

We have measured the stellar and gaseous kinematics of the inner 1.8 × 2.5 kpc2 of the Seyfert 2 galaxy NGC 1358, from optical spectra obtained with the GMOS integral field spectrograph on the Gemini South telescope at a spatial resolution of ≈165 pc. The main results of this paper are as follows:

  • The stellar velocity field shows rotation in a disc consistent with an orientation for the line of nodes of ≈15°.

  • Extended gas emission is observed over the whole FOV, with the line profiles being well fitted by Gaussian curves.

  • In the inner ≈650 pc, four gaseous kinematical components are observed: a component originating in gas rotating in the disc of the galaxy, present over the entire FOV, an unresolved outflow at the nucleus and two off-plane gas clouds, at projected distances of ≈500 pc to the south-east and north-east of the nucleus.

  • A fifth kinematical component is observed at ≈750 pc north of the nucleus, blueshifted 400 km s−1 in relation to the systemic velocity of the galaxy. We interpret this component as a high-latitude gas filament.

  • Considering the gas clouds are observed along the AGN ionization cone, we suggest that they are due to a previous ejection of the AGN.

  • We estimate an ionized gas mass of M ≈ 16 × 104 M in the compact outflow and M ≈ 64 × 104 and ≈ 5 × 104 M in the south-eastern and northern gas clouds, respectively.

  • The disc component velocity field is strongly disturbed by the large-scale bar. The subtraction of a model combining rotation in a disc and bar flows reveals a three spiral pattern. Residual velocities in these spirals reach up to 80 km s−1.

  • We observe residual redshifts associated with spiral arms on the near side of the galaxy and residual blueshifts associated with a spiral arm on the far side. We interpret these residuals as radial inflows.

  • We observe residual redshifts on the far side of the galaxy and blueshifted residuals on the near side associated with another spiral arm. We interpret this residuals as a radial outflow.

  • We have observed a residual redshift within 0.7 arcsec of the nucleus, interpreted as due to gas inflow. We have calculated the mass inflow rate in this inflow obtaining |$\dot{M}_{{\rm in}}$| ≈ 1.5 × 10−2M yr−1. This is about 160 times larger than the necessary to power the AGN.

Acknowledgements

We thank the anonymous referee for comments and suggestions which have improved this paper. This work is based on observations obtained at the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (United States), the Science and Technology Facilities Council (United Kingdom), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), Ministério da Ciência e Tecnologia (Brazil) and south-eastCYT (Argentina). This work has been partially supported by the Brazilian institution CNPq.

1

IRAF is distributed by the National Optical Astronomy Observatories, which are operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation.

REFERENCES

Argyle
R. W.
,
Eldridge
P.
,
1990
,
MNRAS
,
243
,
504

Bertola
F.
,
Bettoni
D.
,
Danziger
J.
,
Sadler
E.
,
Sparke
L.
,
de Zeeuw
T.
,
1991
,
ApJ
,
373
,
369

Bruzual
G.
,
Charlot
S.
,
2003
,
MNRAS
,
344
,
1000

Cappellari
M.
,
Copin
Y.
,
2003
,
MNRAS
,
342
,
345

Cappellari
M.
,
Emsellem
E.
,
2004
,
PASP
,
116
,
138

Casasola
V.
,
Combes
F.
,
García-Burillo
S.
,
Hunt
L. K.
,
Léon
S.
,
Baker
A. J.
,
2008
,
A&A
,
490
,
61

Casasola
V.
,
Hunt
L. K.
,
Combes
F.
,
García-Burillo
S.
,
Neri
R.
,
2011
,
A&A
,
527
,
A92

Combes
F.
et al. ,
2013
,
A&A
,
558
,
A124

Combes
F.
et al. ,
2014
,
A&A
,
565
,
A97

Comerón
S.
,
Knapen
J. H.
,
Beckman
J. E.
,
2008
,
A&A
,
485
,
695

Davies
R. I.
,
Maciejewski
W.
,
Hicks
E. K. S.
,
Tacconi
L. J.
,
Genzel
R.
,
Engel
H.
,
2009
,
ApJ
,
702
,
114

Davies
R. I.
et al. ,
2014
,
ApJ
,
792
,
101

de Vaucouleurs
G.
de Vaucouleurs
A.
Corwin
H. G., Jr
Buta
R. J.
Paturel
G.
Fouqué
P.
,
1991
,
Third Reference Catalogue of Bright Galaxies. Volume I: Explanations and References. Vol. II: Data for Galaxies between 0h and 12h. Vol. III: Data for Galaxies between 12h and 24h. Springer, New York

Dumas
G.
Emsellem
E.
Ferruit
P.
,
2007
, in
Kissler-Patig
M.
Walsh
J. R.
Roth
M. M.
, eds,
Science Perspectives for 3D Spectroscopy: A 3D View of the Central Kiloparsec of the Seyfert Galaxy NGC 1358. Cambridge Univ. Press, University
, p.
269

Emsellem
E.
,
2008
,
Astrophys. Space Sci. Proc.
,
4
,
139

Fathi
K.
,
Storchi-Bergmann
T.
,
Riffel
R. A.
,
Winge
C.
,
Axon
D. J.
,
Robinson
A.
,
Capetti
A.
,
Marconi
A.
,
2006
,
ApJ
,
641
,
L25

Fischer
T. C.
et al. ,
2017
,
AspJ
,
834
,
30

Frank
J.
King
A.
Raine
D. J.
,
2002
,
Accretion Power in Astrophysics
, 3rd Edn.
Cambridge Univ. Press
,
Cambridge
, p.
398

Gadotti
D. A.
,
Athanassoula
E.
,
Carrasco
L.
,
Bosma
A.
,
de Souza
R. E.
,
Recillas
E.
,
2007
,
MNRAS
,
381
,
943

García-Burillo
S.
et al. ,
2009
,
A&A
,
496
,
85

García-Burillo
S.
et al. ,
2014
,
A&A
,
567
,
A125

Gerssen
J.
,
Kuijken
K.
,
Merrifield
M. R.
,
2003
,
MNRAS
,
345
,
261

Gonzalez Delgado
R. M.
,
Perez
E.
,
1997
,
ApJS
,
108
,
199

Gu
Q.
,
Huang
J.
,
2002
,
ApJ
,
579
,
205

Hicks
E. K. S.
,
Davies
R. I.
,
Maciejewski
W.
,
Emsellem
E.
,
Malkan
M. A.
,
Dumas
G.
,
Müller-Sánchez
F.
,
Rivers
A.
,
2013
,
ApJ
,
768
,
107

Hunt
L. K.
et al. ,
2008
,
A&A
,
482
,
133

Krug
H. B.
,
Rupke
D. S. N.
,
Veilleux
S.
,
2010
,
ApJ
,
708
,
1145

Lamastra
A.
,
Bianchi
S.
,
Matt
G.
,
Perola
G. C.
,
Barcons
X.
,
Carrera
F. J.
,
2009
,
A&A
,
504
,
73

Lena
D.
et al. ,
2015
,
ApJ
,
806
,
84

Lindt-Krieg
E.
,
Eckart
A.
,
Neri
R.
,
Krips
M.
,
Pott
J.-U.
,
García-Burillo
S.
,
Combes
F.
,
2008
,
A&A
,
479
,
377

Maciejewski
W.
,
2004a
,
MNRAS
,
354
,
883

Maciejewski
W.
,
2004b
,
MNRAS
,
354
,
892

Maksym
W. P.
Fabbiano
G.
Elvis
M.
Karovska
M.
Paggi
A.
Raymond
J.
Wang
J.
Storchi-Bergmann
T.
,
2017
,
ApJ
,
844
,
69

Martini
P.
,
Regan
M. W.
,
Mulchaey
J. S.
,
Pogge
R. W.
,
2003
,
ApJ
,
589
,
774

Mulchaey
J. S.
,
Wilson
A. S.
,
Tsvetanov
Z.
,
1996
,
ApJS
,
102
,
309

Osterbrock
D. E.
Ferland
G. J.
,
2006
,
Astrophysics of Gaseous Nebulae and Active Galactic Nuclei

Peterson
B. M.
,
1997
,
An Introduction to Active Galactic Nuclei

Pogge
R. W.
,
Martini
P.
,
2002
,
ApJ
,
569
,
624

Riffel
R. A.
,
Storchi-Bergmann
T.
,
Winge
C.
,
McGregor
P. J.
,
Beck
T.
,
Schmitt
H.
,
2008
,
MNRAS
,
385
,
1129

Riffel
R. A.
,
Storchi-Bergmann
T.
,
Riffel
R.
,
Pastoriza
M. G.
,
2010
,
ApJ
,
713
,
469

Riffel
R.
,
Riffel
R. A.
,
Ferrari
F.
,
Storchi-Bergmann
T.
,
2011
,
MNRAS
,
416
,
493

Riffel
R. A.
,
Storchi-Bergmann
T.
,
Winge
C.
,
2013
,
MNRAS
,
430
,
2249

Schnorr Müller
A.
,
Storchi-Bergmann
T.
,
Riffel
R. A.
,
Ferrari
F.
,
Steiner
J. E.
,
Axon
D. J.
,
Robinson
A.
,
2011
,
MNRAS
,
413
,
149

Schnorr-Müller
A.
,
Storchi-Bergmann
T.
,
Nagar
N. M.
,
Robinson
A.
,
Lena
D.
,
Riffel
R. A.
,
Couto
G. S.
,
2014a
,
MNRAS
,
437
,
1708

Schnorr-Müller
A.
,
Storchi-Bergmann
T.
,
Nagar
N. M.
,
Ferrari
F.
,
2014b
,
MNRAS
,
438
,
3322

Schnorr-Müller
A.
,
Storchi-Bergmann
T.
,
Robinson
A.
,
Lena
D.
,
Nagar
N. M.
,
2016
,
MNRAS
,
457
,
972

Schnorr-Müller
A.
,
Storchi-Bergmann
T.
,
Ferrari
F.
,
Nagar
N. M.
,
2017
,
MNRAS
,
466
,
4370

Simões Lopes
R. D.
,
Storchi-Bergmann
T.
,
de Fátima Saraiva
M.
,
Martini
P.
,
2007
,
ApJ
,
655
,
718

Spekkens
K.
,
Sellwood
J. A.
,
2007
,
ApJ
,
664
,
204

Storchi-Bergmann
T.
,
Dors
O. L.
,
Jr
Riffel
R. A.
,
Fathi
K.
,
Axon
D. J.
,
Robinson
A.
,
Marconi
A.
,
Östlin
G.
,
2007
,
ApJ
,
670
,
959

Storchi-Bergmann
T.
,
Riffel
R. A.
,
Riffel
R.
,
Diniz
M. R.
,
Borges Vale
T.
,
McGregor
P. J.
,
2012
,
ApJ
,
755
,
87

Theureau
G.
,
Bottinelli
L.
,
Coudreau-Durand
N.
,
Gouguenheim
L.
,
Hallet
N.
,
Loulergue
M.
,
Paturel
G.
,
Teerikorpi
P.
,
1998
,
A&AS
,
130
,
333

Véron-Cetty
M.-P.
,
Véron
P.
,
2006
,
A&A
,
455
,
773